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Simplifying 3(3x + -4) + -6 = 2(2x + 14) + 4 Reorder the terms: 3(-4 + 3x) + -6 = 2(2x + 14) + 4 (-4 * 3 + 3x * 3) + -6 = 2(2x + 14) + 4 (-12 + 9x) + -6 = 2(2x + 14) + 4 Reorder the terms: -12 + -6 + 9x = 2(2x + 14) + 4 Combine like terms: -12 + -6 = -18 -18 + 9x = 2(2x + 14) + 4 Reorder the terms: -18 + 9x = 2(14 + 2x) + 4 -18 + 9x = (14 * 2 + 2x * 2) + 4 -18 + 9x = (28 + 4x) + 4 Reorder the terms: -18 + 9x = 28 + 4 + 4x Combine like terms: 28 + 4 = 32 -18 + 9x = 32 + 4x Solving -18 + 9x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 9x + -4x = 32 + 4x + -4x Combine like terms: 9x + -4x = 5x -18 + 5x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 5x = 32 + 0 -18 + 5x = 32 Add '18' to each side of the equation. -18 + 18 + 5x = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 32 + 18 5x = 32 + 18 Combine like terms: 32 + 18 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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